RPM to Linear Velocity

$V = 2pi*D/2*"RPM"/60$

$(D)"Diameter"$

$(R)"revolutions per minute"$

Calculate Linear Velocity from RPMS:

Choose units
Enter the rotation rate (R)
Enter the outer diameter (D)

Linear Velocity (V): The calculator returns velocity in meters per second. However, this can be automatically converted to other velocity units via the pull-down menu.
/attachments/3c0ea111-42e1-11e6-9770-bc764e2038f2/BeltSpeed-illustration.png

The Math

The Linear Velocity from RMPs can be found using the following formula:

$v=(2pi)/60*r*N$

where:

v = linear velocity on the edge of the radius (e.g. pulley)
r = radius, where radius is half the diameter
N = number of revolutions per minute

Simple Machine Calculators

Lever Beam Length: Computes the length of a lever (beam) on one side of a fulcrum needed to lift an object based on the objects weight and the length of the beam on the other side of the fulcrum.
Leverage Lift Weight: Computes the weight that can be lifted using a lever based on the downward force and the length of the lever on either side of the fulcrum.
Fulcrum Position (x): Computes the position of the fulcrum needed in a lever to lift a weight (W) with a downward force (F) with a beam of length (L), where L = x + y.
Belt Length: Computes the length of a belt that goes around two pulleys of different diameters separated by a specific distance.two pulley system
Belt Speed: Computes the speed a belt travels based on the diameter of the pulley and the RPMs.
Pulley RPMs: Computes the RPMs of a pulley based on the speed of the belt and the diameter of the pulley.
2nd Pulley RPMs: Computes the RPMs of a second pulley in a two pulley system when the RPM and Diameter are known for one pulley and the diameter of the second pulley is also known.
2nd Pulley Diameter:- Computes the diameter of a second pulley in a two pulley system based on diameter and RPM of one pulley and the RPMs of the second.
RPM of 4th pulley on three shafts: Computes the RPMs of a fourth pulley on a three shaft system when the RMPs of the first shaft is known and the four diameters.
2nd Gear RPM: Computes the RPMs of a second gear when the RPM and number of teeth are known for the first gear, and the number of teeth are known for the second gear.
Pulley RPMs: Computes pulley RPMs from belt speed and pulley diameter.
Sum of Two Lengths: Computes the sum of two lengths (useful with lever calculations).
Second Gear Torque: Calculates the torque of a second gear when the torque and number of teeth are known for the first gear and the number of teeth of the second gear is known.
Leadscrew Torque (lift): Computes the torque required to lift a load with a square thread power screw assembly.

References

The formula for Linear Velocity is from Wikipedia (https://en.wikipedia.org/wiki/Revolutions_per_minute).